 ## MCP CALCULUS LAB MANUAL: Explorations through Technology The MCP project represents a major effort by several UNCW faculty in mathematics, physics and chemistry to revamp instructional methods in undergraduate science and mathematics education. The Table of Contents for the calculus lab manual is shown below. Gabriel Lugo lugo@uncw.edu Russell Herman hermanr@uncw.edu Copyright ©1992, 1995
Last updated 04/11/2004

Answer sheets are included for some labs. These have been provided by Ms. Kathy
Langone. Also, Ms. S. Daniels provided a nice salute to a goldfish.

• Getting Started in MathCAD
• Limits lab02.mcd
• Limits of Functions
• Two Important Limits
• Differentiation lab03.mcd
• Numerical Differentiation
• Second Derivative
• Euler's Method lab04.mcd
• Theory
• Fitting Data to Straight Lines lab05.mcd
• Linear Relationships
• The Method of Least Squares
• The Expanding Universe lab06.mcd, hubble.prn
• The Hubble Effect
• Uniform Acceleration lab07.mcd, dist1.prn, dist2.prn
• Theory
• Distance vs. Time Experiments
• Straightening Quadratic Functions lab08.mcd
• Interpolation
• Motion on an Inclined Plane lab09.mcd tincan.prn
• Cylinder Rolling on an Inclined Plane
• Transfering Data to MathCAD
• Modeling
• Music of the Planets lab10.mcd, position.prn, period.prn
• Kepler's Third Law
• Power Laws
• Population Growth Model lab11.mcd
• Malthusian Law of Population Growth
• The Rate of a Chemical Reaction
• Kinetics of a First Order Reaction
• Kinetics Experiment
• Analysis
• Newton's Law of Cooling cooling.mcd, cooling2.mcd, wtrtemp.prn
• The Law of Cooling
• Two Cooling Experiments
• Modeling Newton's Law of Cooling
• Logistic Growth lab14.mcd
• The Logistic Law of Population Growth
• Differentiating Data
• Finding Your Roots bisect1.mcd
• The Method of Bisection
• Newton's Method and the Hydrogen Atom
lab16.mcd, lab16ec.mcd (Extra Credit)
• The Radial Wave Function
• Roots by Zooming Method
• Roots by Newton's Method
• The Radial Probability Function
• All in the Family
• Families of Curves
• Numerical Integration and Probability lab18.mcd
• Probability Distributions
• Probability and Numerical Integration
• Numerical Integration of Functions intfun1.dat
• Approximating Integrals
• Euler's Method
• The Trapezoidal Rule
• Simpson's Rule
• Integrating Data intdat1.mcd, water.prn
• A Change of Perspective
• Simple Harmonic Oscillator
• The Simple Pendulum
• Pendulum Experiment
• Damped Oscillations
• The Mechanical Spring
• Mass-Spring Experiment
• Improper Integrals lab23.mcd
• The Computation of Improper Integrals
• Method of Computation
• Average Molecular Speeds lab24.mcd
• Average Molecular Speeds
• Dangerous Curves lab25.mcd
• Parametric Curves
• Roses are Red ... lab26.mcd
• The Polar Coordinate System
• Polar Integration
• Introduction
• Newton's Method newton.mcd
• Newton's Method
• The Secant Method
• Iterative Methods
• Fixed Point Iterations
• Easy as Pi lab30.mcd
• The Search for
• Series Approximations
• Exploring Geometric Series gseries.mcd
• Geometric Series
• Function Approximation lab32.mcd
• Taylor's Theorem
• Computing Higher Order Derivatives
• MBL
• Connecting the MBL Unit to a PC
• Keeping Records
• Notebooks
• Graphs
• Description of Lab Reports
• What is a Lab Report?